Not sure if your talking about taking your car to Lingenfelter Performance to have it installed or not, but the cost in doing so on top of the price you paid for the car to begin with totals as much as what you can buy a new Z06 for. Based on my own experience in building supercharged engines, Milliwatt Rob is absolutely correct in stating the internals of the LT4, which is designed to be supercharged is completely different than the LT1. And, I would venture to guess (99% sure) as Elegant pointed out, any warranties provided by an aftermarket supercharger manufacturer only applies to the supercharger and will void the original factory warranty. The thing is, the LT1 was designed to be naturally aspirated, therefore the static compression ratio is up around 11.0:1 with I believe "Cast" aluminum piston. The octane rating of fuel available at the pump is rated at 91-93 octane, which has a tendency to cause the engine to detonate in spite of the direct injection and aluminum heads and block. So, you'll be limited on the amount of boost from the supercharger to maybe 4-5 lbs., which kinda defeats the whole purpose. As Milliwatt Rob indicated the LT4's static compression is lower in order to take advantage of the added boost, not to mention it has much stronger "Forged Pistons," different cylinder heads, Camshaft (Valve Timing), Titanium Intake Valves, just to mention a few things.
There are those out there who add supercharger and boost that will adamantly argue the fact and some of them blow up their engines after voiding their factory warranties. So the big question is...... DO YOU FEEL LUCKY? There are those that are going to do it anyway, which I say, more power to them, no pun intended, but I wouldn't do it personally. Just my opinion....